Finding the Third Proportional to 342,915 and 509,404

Step by Step Solution

1. Step 1: Write the proportion equation
   342,915 : 509,404 = 509,404 : x
2. Step 2: Convert to fraction form
   342,915/509,404 = 509,404/x
3. Step 3: Cross multiply
   342,915x = 509,404 × 509,404
4. Step 4: Simplify right side
   342,915x = 259,492,435,216
5. Step 5: Solve for x
   x = 259,492,435,216/342,915
6. Step 6: Final answer
   x = 756,725.24